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Finding the Fourth Proportional to 68,714.40, 103,071.60 and 47,719.20

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Solution

The fourth proportional to 68,714.40, 103,071.60 and 47,719.20 is: 71,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,714.40 : 103,071.60 = 47,719.20 : x
  2. Step 2: Convert to fraction form
    68,714.40/103,071.60 = 47,719.20/x
  3. Step 3: Cross multiply
    68,714.40x = 103,071.60 × 47,719.20
  4. Step 4: Simplify right side
    68,714.40x = 4,918,494,294.72
  5. Step 5: Solve for x
    x = 4,918,494,294.72/68,714.40
  6. Step 6: Final answer
    x = 71,578.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.